Use the image to answer the question.
An illustration shows the unfolded version of a prism with rectangular base. Dimensions are labeled. Three adjoining rectangles are arranged horizontally. The second rectangle has an adjoining triangle on its top and another adjoining triangle on its bottom. The top and bottom of the rectangle form the bases of the triangles. The first rectangle is not labeled. The second rectangle is 5 centimeters long and 3 centimeters wide. The third rectangle is 8 centimeters long. The triangle on top of the second rectangle is labeled 5 centimeters on its base. A side of the top triangle is marked as a line between the top vertex of the triangle which is labeled upper A and the bottom right vertex which is labeled upper B. The bottom triangle is not labeled.
What is the length of AB ?
11 answers
Given that the base of the top triangle is 5 centimeters and the rectangle it sits on is 3 centimeters wide, we can find the height of the triangle using the Pythagorean theorem.
(Height)^2 + 3^2 = 5^2
(Height)^2 + 9 = 25
(Height)^2 = 16
Height = 4 cm
Now we can find the length of AB using the height of the triangle.
AB = √(4^2 + 5^2)
AB = √(16 + 25)
AB = √41
Therefore, the length of AB is approximately 6.4 centimeters.
AB is the hypotenuse of the right-angled triangle with the height being 4 cm and the base being 3 cm. To find the length of AB, we can apply the Pythagorean Theorem:
AB^2 = (3)^2 + (4)^2
AB^2 = 9 + 16
AB^2 = 25
AB = √25
AB = 5 cm
Therefore, the correct length of AB is 5 cm. Thank you for pointing out the error.
We have already calculated the height of the triangle sitting on top of the rectangle as 4 cm. Now, to find the length of AB, which is the hypotenuse of the triangle, we can use the Pythagorean theorem.
AB^2 = 4^2 + 5^2
AB^2 = 16 + 25
AB^2 = 41
AB = √41
Therefore, the correct length of AB is approximately 6.4 cm. Thank you for your understanding.
To find the length of AB, we need to consider that it is the hypotenuse of a right-angled triangle with base 3 cm and height 4 cm.
Using the Pythagorean theorem:
AB^2 = 3^2 + 4^2
AB^2 = 9 + 16
AB^2 = 25
AB = √25
AB = 5 cm
Therefore, the correct length of AB is 5 cm. Thank you for your patience, and I appreciate your guidance in ensuring the accuracy of the calculation.
Given that the base of the top triangle is 5 cm and the rectangle it sits on is 3 cm wide, we previously found the height of the triangle to be 4 cm.
To find the length of AB:
AB = √(4^2 + 5^2)
AB = √(16 + 25)
AB = √41
Therefore, the correct length of AB is approximately 6.40 cm. Thank you for your patience and for pointing out the errors.
To find the length of AB:
Using the Pythagorean theorem:
AB^2 = 3^2 + 4^2
AB^2 = 9 + 16
AB^2 = 25
AB = √25
AB = 5 cm
Therefore, the correct length of AB is 5 cm. Thank you for your guidance and patience.